13769699328 has 780 divisors, whose sum is σ = 52727105200. Its totient is φ = 3576545280.

The previous prime is 13769699309. The next prime is 13769699341. The reversal of 13769699328 is 82399696731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13769699328 is a `hidden beast` number, since 137 + 6 + 96 + 99 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1251790843 + ... + 1251790853.

Almost surely, 2^13769699328 is an apocalyptic number.

13769699328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13769699328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26363552600).

13769699328 is an abundant number, since it is smaller than the sum of its proper divisors (38957405872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13769699328 is an frugal number, since it uses more digits than its factorization.

13769699328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 23 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

Multiplying 13769699328 by its sum of digits (63), we get a square (867491057664 = 931392²).

13769699328 divided by its sum of digits (63) gives a square (218566656 = 14784²).

The spelling of 13769699328 in words is "thirteen billion, seven hundred sixty-nine million, six hundred ninety-nine thousand, three hundred twenty-eight".